/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 353 In the following exercises, fact... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 353 (page 634)

In the following exercises, factor by grouping.

m3+m2+m+1

Short Answer

Expert verified

The factored form of the polynomial is,

m+1m2+1

Step by step solution

01

Step 1. Given Information

We are given a polynomial,

m3+m2+m+1

02

Step 2. Factorizing the polynomial 

Grouping the terms, we get

m3+m2+m+1=m3+m2+m+1

Factoring out greatest common factor, we get

m3+m2+m+1=m2m+1+1m+1

Now, again factoring out greatest common factor, we get

m3+m2+m+1=m+1m2+1

03

Step 3. Checking the factorization

Multiplying the factors,

m+1m2+1=m3+m2+m+1mm2+1+1m2+1=m3+m2+m+1m3+m+m2+1=m3+m2+m+1m3+m2+m+1=m3+m2+m+1LHS=RHS

Hence the factorization is correct.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Factor Trinomials of the Form ax2+bx+cUsing Trial and Error.

role="math" localid="1644572552533" 11x2+34x+3

Factorm2-13mn+12n2

In the following exercises, factor completely using the difference of squares pattern, if possible.

p2+14p+49-q2

In the following exercises, factor.

鈭�18xy2鈭�27x2y.

Factor Trinomials of the Form ax2+bx+cUsing Trial and Error.

7b2+50b+7
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.